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Energy Gap Phenomenon and the Existence of Infinitely Many Weakly Harmonic Maps for the Dirichlet Problem

✍ Scribed by T. Isobe

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 841 KB
Volume: 129
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1995.1050

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✦ Synopsis

We study the relations between energy gap and multiplicity of harmonic maps for the Dirichlet problem. We show that if energy gap occurs, then there exist infinitely many weakly harmonic maps for the Dirichlet problem under some topological assumptions of the target manifold. (C) 1995 Academic Press, Inc